the_central_limit_theorem_i.py

# https://www.hackerrank.com/challenges/s10-the-central-limit-theorem-1/problem

import math

x, n, mu, sigma = 9800, 49, 205, 15

mu_sum = n * mu
sigma_sum = math.sqrt(n) * sigma


def cdf(x, mu, sigma):
    Z = (x - mu) / sigma
    return 0.5 * (1 + math.erf(Z / (math.sqrt(2))))


print(round(cdf(x, mu_sum, sigma_sum), 4))